{"id":"https://openalex.org/W2110235052","doi":"https://doi.org/10.1155/2013/123738","title":"Advanced Harmony Search with Ant Colony Optimization for Solving the Traveling Salesman Problem","display_name":"Advanced Harmony Search with Ant Colony Optimization for Solving the Traveling Salesman Problem","publication_year":2013,"publication_date":"2013-01-01","ids":{"openalex":"https://openalex.org/W2110235052","doi":"https://doi.org/10.1155/2013/123738","mag":"2110235052"},"language":"en","primary_location":{"id":"doi:10.1155/2013/123738","is_oa":true,"landing_page_url":"https://doi.org/10.1155/2013/123738","pdf_url":"https://downloads.hindawi.com/journals/jam/2013/123738.pdf","source":{"id":"https://openalex.org/S190082376","display_name":"Journal of Applied Mathematics","issn_l":"1110-757X","issn":["1110-757X","1687-0042"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310319869","host_organization_name":"Hindawi Publishing Corporation","host_organization_lineage":["https://openalex.org/P4310319869"],"host_organization_lineage_names":["Hindawi Publishing Corporation"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Journal of Applied Mathematics","raw_type":"journal-article"},"type":"article","indexed_in":["crossref","doaj"],"open_access":{"is_oa":true,"oa_status":"gold","oa_url":"https://downloads.hindawi.com/journals/jam/2013/123738.pdf","any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5074803324","display_name":"Ho-Yoeng Yun","orcid":null},"institutions":[{"id":"https://openalex.org/I193775966","display_name":"Yonsei University","ror":"https://ror.org/01wjejq96","country_code":"KR","type":"education","lineage":["https://openalex.org/I193775966"]}],"countries":["KR"],"is_corresponding":false,"raw_author_name":"Ho-Yoeng Yun","raw_affiliation_strings":["Department of Industrial Information Engineering, Yonsei University, Seoul 120-749, Republic of Korea"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Industrial Information Engineering, Yonsei University, Seoul 120-749, Republic of Korea","institution_ids":["https://openalex.org/I193775966"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5026525111","display_name":"Sukjae Jeong","orcid":"https://orcid.org/0000-0001-7081-7567"},"institutions":[{"id":"https://openalex.org/I161024014","display_name":"Kwangwoon University","ror":"https://ror.org/02e9zc863","country_code":"KR","type":"education","lineage":["https://openalex.org/I161024014"]}],"countries":["KR"],"is_corresponding":false,"raw_author_name":"Suk-Jae Jeong","raw_affiliation_strings":["Department of Business School, Kwangwoon University, Seoul 139-701, Republic of Korea"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Business School, Kwangwoon University, Seoul 139-701, Republic of Korea","institution_ids":["https://openalex.org/I161024014"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5051511645","display_name":"Kyungsup Kim","orcid":"https://orcid.org/0000-0002-0166-1439"},"institutions":[{"id":"https://openalex.org/I193775966","display_name":"Yonsei University","ror":"https://ror.org/01wjejq96","country_code":"KR","type":"education","lineage":["https://openalex.org/I193775966"]}],"countries":["KR"],"is_corresponding":true,"raw_author_name":"Kyung-Sup Kim","raw_affiliation_strings":["Department of Industrial Information Engineering, Yonsei University, Seoul 120-749, Republic of Korea"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Industrial Information Engineering, Yonsei University, Seoul 120-749, Republic of Korea","institution_ids":["https://openalex.org/I193775966"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5051511645"],"corresponding_institution_ids":["https://openalex.org/I193775966"],"apc_list":{"value":1025,"currency":"USD","value_usd":1025},"apc_paid":{"value":1025,"currency":"USD","value_usd":1025},"fwci":2.9648,"has_fulltext":true,"cited_by_count":31,"citation_normalized_percentile":{"value":0.91913121,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":89,"max":98},"biblio":{"volume":"2013","issue":null,"first_page":"1","last_page":"8"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10100","display_name":"Metaheuristic Optimization Algorithms Research","score":0.9998999834060669,"subfield":{"id":"https://openalex.org/subfields/1702","display_name":"Artificial Intelligence"},"field":{"id":"https://openalex.org/fields/17","display_name":"Computer Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T10100","display_name":"Metaheuristic Optimization Algorithms Research","score":0.9998999834060669,"subfield":{"id":"https://openalex.org/subfields/1702","display_name":"Artificial Intelligence"},"field":{"id":"https://openalex.org/fields/17","display_name":"Computer Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T10848","display_name":"Advanced Multi-Objective Optimization Algorithms","score":0.9970999956130981,"subfield":{"id":"https://openalex.org/subfields/1703","display_name":"Computational Theory and Mathematics"},"field":{"id":"https://openalex.org/fields/17","display_name":"Computer Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T10567","display_name":"Vehicle Routing Optimization Methods","score":0.9955000281333923,"subfield":{"id":"https://openalex.org/subfields/2209","display_name":"Industrial and Manufacturing Engineering"},"field":{"id":"https://openalex.org/fields/22","display_name":"Engineering"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/travelling-salesman-problem","display_name":"Travelling salesman problem","score":0.8754723072052002},{"id":"https://openalex.org/keywords/ant-colony-optimization-algorithms","display_name":"Ant colony optimization algorithms","score":0.867210328578949},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.7286208271980286},{"id":"https://openalex.org/keywords/harmony-search","display_name":"Harmony search","score":0.7274741530418396},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.47946226596832275},{"id":"https://openalex.org/keywords/local-optimum","display_name":"Local optimum","score":0.4595652222633362},{"id":"https://openalex.org/keywords/heuristic","display_name":"Heuristic","score":0.44957268238067627},{"id":"https://openalex.org/keywords/metaheuristic","display_name":"Metaheuristic","score":0.41683444380760193},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.38583308458328247},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.36223655939102173}],"concepts":[{"id":"https://openalex.org/C175859090","wikidata":"https://www.wikidata.org/wiki/Q322212","display_name":"Travelling salesman problem","level":2,"score":0.8754723072052002},{"id":"https://openalex.org/C40128228","wikidata":"https://www.wikidata.org/wiki/Q460851","display_name":"Ant colony optimization algorithms","level":2,"score":0.867210328578949},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.7286208271980286},{"id":"https://openalex.org/C33099171","wikidata":"https://www.wikidata.org/wiki/Q26208718","display_name":"Harmony search","level":2,"score":0.7274741530418396},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.47946226596832275},{"id":"https://openalex.org/C141934464","wikidata":"https://www.wikidata.org/wiki/Q3305386","display_name":"Local optimum","level":2,"score":0.4595652222633362},{"id":"https://openalex.org/C173801870","wikidata":"https://www.wikidata.org/wiki/Q201413","display_name":"Heuristic","level":2,"score":0.44957268238067627},{"id":"https://openalex.org/C109718341","wikidata":"https://www.wikidata.org/wiki/Q1385229","display_name":"Metaheuristic","level":2,"score":0.41683444380760193},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.38583308458328247},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.36223655939102173}],"mesh":[],"locations_count":4,"locations":[{"id":"doi:10.1155/2013/123738","is_oa":true,"landing_page_url":"https://doi.org/10.1155/2013/123738","pdf_url":"https://downloads.hindawi.com/journals/jam/2013/123738.pdf","source":{"id":"https://openalex.org/S190082376","display_name":"Journal of Applied Mathematics","issn_l":"1110-757X","issn":["1110-757X","1687-0042"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310319869","host_organization_name":"Hindawi Publishing Corporation","host_organization_lineage":["https://openalex.org/P4310319869"],"host_organization_lineage_names":["Hindawi Publishing Corporation"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Journal of Applied Mathematics","raw_type":"journal-article"},{"id":"pmh:oai:CULeuclid:euclid.jam/1394807363","is_oa":false,"landing_page_url":"http://projecteuclid.org/euclid.jam/1394807363","pdf_url":null,"source":{"id":"https://openalex.org/S4306400787","display_name":"Project Euclid (Cornell University)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"Text"},{"id":"pmh:oai:RePEc:hin:jnljam:123738","is_oa":false,"landing_page_url":"http://downloads.hindawi.com/journals/JAM/2013/123738.xml","pdf_url":null,"source":{"id":"https://openalex.org/S4306401271","display_name":"RePEc: Research Papers in Economics","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I77793887","host_organization_name":"Federal Reserve Bank of St. Louis","host_organization_lineage":["https://openalex.org/I77793887"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"article"},{"id":"pmh:oai:doaj.org/article:9ff881fd902d4ce5b165cb779b619f07","is_oa":false,"landing_page_url":"https://doaj.org/article/9ff881fd902d4ce5b165cb779b619f07","pdf_url":null,"source":{"id":"https://openalex.org/S4306401280","display_name":"DOAJ (DOAJ: Directory of Open Access Journals)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Journal of Applied Mathematics, Vol 2013 (2013)","raw_type":"article"}],"best_oa_location":{"id":"doi:10.1155/2013/123738","is_oa":true,"landing_page_url":"https://doi.org/10.1155/2013/123738","pdf_url":"https://downloads.hindawi.com/journals/jam/2013/123738.pdf","source":{"id":"https://openalex.org/S190082376","display_name":"Journal of Applied Mathematics","issn_l":"1110-757X","issn":["1110-757X","1687-0042"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310319869","host_organization_name":"Hindawi Publishing Corporation","host_organization_lineage":["https://openalex.org/P4310319869"],"host_organization_lineage_names":["Hindawi Publishing Corporation"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Journal of Applied Mathematics","raw_type":"journal-article"},"sustainable_development_goals":[{"display_name":"Sustainable cities and communities","score":0.6800000071525574,"id":"https://metadata.un.org/sdg/11"}],"awards":[{"id":"https://openalex.org/G463862625","display_name":null,"funder_award_id":"2010-0023236","funder_id":"https://openalex.org/F4320320671","funder_display_name":"National Research Foundation"}],"funders":[{"id":"https://openalex.org/F4320320671","display_name":"National Research Foundation","ror":"https://ror.org/05s0g1g46"},{"id":"https://openalex.org/F4320322120","display_name":"National Research Foundation of Korea","ror":"https://ror.org/013aysd81"},{"id":"https://openalex.org/F4320322349","display_name":"Ministry of Education, Science and Technology","ror":"https://ror.org/01p262204"}],"has_content":{"pdf":true,"grobid_xml":true},"content_urls":{"pdf":"https://content.openalex.org/works/W2110235052.pdf","grobid_xml":"https://content.openalex.org/works/W2110235052.grobid-xml"},"referenced_works_count":25,"referenced_works":["https://openalex.org/W1497256448","https://openalex.org/W1596914020","https://openalex.org/W1972400833","https://openalex.org/W1974915966","https://openalex.org/W1976744965","https://openalex.org/W1985334587","https://openalex.org/W1993885071","https://openalex.org/W2023070290","https://openalex.org/W2024060531","https://openalex.org/W2030346487","https://openalex.org/W2052257324","https://openalex.org/W2078857923","https://openalex.org/W2095546721","https://openalex.org/W2096648407","https://openalex.org/W2107631366","https://openalex.org/W2149523634","https://openalex.org/W2152195021","https://openalex.org/W2152951248","https://openalex.org/W2154929945","https://openalex.org/W2164267739","https://openalex.org/W2167920923","https://openalex.org/W2335540726","https://openalex.org/W2339500526","https://openalex.org/W2402846924","https://openalex.org/W4285719527"],"related_works":["https://openalex.org/W2559478821","https://openalex.org/W3096164146","https://openalex.org/W4200602616","https://openalex.org/W2131325457","https://openalex.org/W179631273","https://openalex.org/W2155417944","https://openalex.org/W2391279410","https://openalex.org/W3001379520","https://openalex.org/W2110235052","https://openalex.org/W3091292592"],"abstract_inverted_index":{"We":[0],"propose":[1],"a":[2,88,102],"novel":[3],"heuristic":[4],"algorithm":[5,100,120,136],"based":[6],"on":[7],"the":[8,22,45,60,64,69,72,77,82,96,108,113,125,132,149,154],"methods":[9],"of":[10,47,71,98,123],"advanced":[11],"Harmony":[12,73],"Search":[13,74],"and":[14,84,107,144],"Ant":[15,52],"Colony":[16,53],"Optimization":[17,54],"(AHS-ACO)":[18],"to":[19,58,75,85,94],"effectively":[20],"solve":[21],"Traveling":[23],"Salesman":[24],"Problem":[25],"(TSP).":[26],"The":[27,115],"TSP,":[28],"in":[29,63,112,131,140,153],"general,":[30],"is":[31,56,121],"well":[32],"known":[33],"as":[34],"an":[35],"NP-complete":[36],"problem,":[37],"whose":[38],"computational":[39],"complexity":[40],"increases":[41],"exponentially":[42],"by":[43,68,81],"increasing":[44],"number":[46],"cities.":[48],"In":[49],"our":[50,99,119,135],"algorithm,":[51],"(ACO)":[55],"used":[57],"search":[59],"local":[61,78],"optimum":[62,79,109,126,150],"solution":[65,127,151],"space,":[66],"followed":[67],"use":[70],"escape":[76],"determined":[80],"ACO":[83],"move":[86],"towards":[87],"global":[89],"optimum.":[90],"Experiments":[91],"were":[92],"performed":[93],"validate":[95],"efficiency":[97],"through":[101],"comparison":[103],"with":[104,148],"other":[105],"algorithms":[106],"solutions":[110,139],"presented":[111,152],"TSPLIB.":[114,155],"results":[116],"indicate":[117],"that":[118],"capable":[122],"generating":[124],"for":[128],"most":[129],"instances":[130],"TSPLIB;":[133],"moreover,":[134],"found":[137],"better":[138],"two":[141],"cases":[142],"(kroB100":[143],"pr144)":[145],"when":[146],"compared":[147]},"counts_by_year":[{"year":2025,"cited_by_count":2},{"year":2024,"cited_by_count":3},{"year":2023,"cited_by_count":3},{"year":2022,"cited_by_count":2},{"year":2021,"cited_by_count":1},{"year":2020,"cited_by_count":5},{"year":2019,"cited_by_count":4},{"year":2018,"cited_by_count":4},{"year":2017,"cited_by_count":1},{"year":2016,"cited_by_count":4},{"year":2015,"cited_by_count":2}],"updated_date":"2026-05-21T09:19:25.381259","created_date":"2025-10-10T00:00:00"}